Not my choice – the disk is already saying that it can't read some sectors, so it isn't going to provide a useful clone. You'll just get the same data corruption but unreported. Cue unexplainable software problems coming up.
If your cloner can put an identifiable pattern into bad blocks, you can do this
- Clone, specifying some unique pattern for bad block filler;
- run CHKDSK on the clone (in case one of the filesystem metadata sectors did not read; I don't think this will be the case here - not enough visible problems for unreadable filesystem sectors);
- search all files on the clone for the pattern.